Given the function above, by binomial expansion, Xn appears to be the term with the largest coefficient. Determine n and hence state the corresponding coefficient.

Would like to know the method of doing this question in an easier way.

Easier than what? Are you saying you have already done the problem and would like to know an easier way? Well, first show us your solution; for all we know, maybe you have already done it in the easiest way!

Given the function above, by binomial expansion, Xn appears to be the term with the largest coefficient. Determine n and hence state the corresponding coefficient.

Would like to know the method of doing this question in an easier way.

Easier than what? Are you saying you have already done the problem and would like to know an easier way? Well, first show us your solution; for all we know, maybe you have already done it in the easiest way!